Research Article

Regular division closed lattice-ordered rings

Published in: Quaestiones Mathematicae
Volume 42 , issue 10 , 2019 , pages: 1353–1355

DOI: 10.2989/16073606.2018.1520750

Author(s): Jingjing Ma , USA

Keywords: Primary 06F25 , Primary 06F25

Abstract

We provide an example of a regular division closed commutative lattice-ordered ring with identity element that is not an almost f-ring. It is also pointed out that regular division closed commutative lattice-ordered rings with the identity element are f-rings provided they contain only a finite number of maximal ideals.

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